Holography, dimensional reduction and the Bekenstein bound

We consider dimensional reduction of the lightlike holography of the covariant entropy bound from D+1 dimensional geometry of M × S1 to the D dimensional geometry M. With a warping factor, the local Bekenstein bound in D+1 dimensions leads to a more refined form of the bound from the D dimensional view point. With this new local Bekenstein bound, it is quite possible to saturate the lightlike holography even with nonvanishing expansion rate. With a Kaluza-Klein gauge field, the dimensional reduction implies a stronger bound where the energy momentum tensor contribution is replaced by the energy momentum tensor with the electromagnetic contribution subtracted.

[1]  S. Hsu,et al.  Brane World Confronts Holography , 2004, hep-th/0401060.

[2]  Kostas Skenderis,et al.  Fake supergravity and domain wall stability , 2003, hep-th/0312055.

[3]  A. Karch.  Experimental Tests of the Holographic Entropy Bound , 2003, hep-th/0311116.

[4]  D. K. Hong,et al.  Holography, entropy and extra dimensions , 2003, hep-ph/0308290.

[5]  D. Bak.  Holography with timelike bulk hypersurfaces , 2003, hep-th/0308027.

[6]  David C. Page,et al.  Closed timelike curves and holography in compact plane waves , 2003, hep-th/0306190.

[7]  R. Bousso,et al.  Simple sufficient conditions for the generalized covariant entropy bound , 2003, hep-th/0305149.

[8]  S. Hirano,et al.  A dilatonic deformation of AdS5 and its field theory dual , 2003, hep-th/0304129.

[9]  D. Thompson,et al.  Quantum Bousso bound , 2003, hep-th/0303067.

[10]  S. Ganguli,et al.  Holographic Protection of Chronology in Universes of the Godel Type , 2002, hep-th/0212087.

[11]  R. Bousso.  Light sheets and Bekenstein's entropy bound. , 2002, Physical review letters.

[12]  R. Wald,et al.  Proof of classical versions of the Bousso entropy bound and of the generalized second law , 1999, hep-th/9908070.

[13]  R. Bousso.  A covariant entropy conjecture , 1999, hep-th/9905177.

[14]  Andrei Linde,et al.  Cosmology versus holography , 1999, hep-th/9904120.

[15]  S. Hod.  Universal Upper Bound to the Entropy of a Charged System , 1999, gr-qc/9903010.

[16]  S. Hod.  Improved Upper Bound to the Entropy of a Charged System. II , 1999 .

[17]  S. Hod.  Improved upper bound to the entropy of a charged system , 1999, gr-qc/9903011.

[18]  Avraham E. Mayo,et al.  Black hole polarization and new entropy bounds , 1999, gr-qc/9903002.

[19]  S. Rey,et al.  LETTER TO THE EDITOR: Cosmic holography+Cosmic holography , 1999, hep-th/9902173.

[20]  G. Veneziano.  Pre-bangian origin of our entropy and time arrow , 1999, hep-th/9902126.

[21]  R. Easther,et al.  HOLOGRAPHY, COSMOLOGY, AND THE SECOND LAW OF THERMODYNAMICS , 1999, hep-th/9902088.

[22]  L. Susskind,et al.  Holography and cosmology , 1998, hep-th/9806039.

[23]  L. Susskind,et al.  The Holographic bound in anti-de Sitter space , 1998, hep-th/9805114.

[24]  J. Maldacena.  The Large-N Limit of Superconformal Field Theories and Supergravity , 1997, hep-th/9711200.

[25]  L. Susskind.  The world as a hologram , 1994, hep-th/9409089.

[26]  R. Bousso.  HUTP-02 / A 053 Light-sheets and Bekenstein ’ s bound , 2002 .

[27]  S. Rey,et al.  Cosmic holography+ , 2000 .